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Finding the Fourth Proportional to 850.02, 1,275.02 and 561.39

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Solution

The fourth proportional to 850.02, 1,275.02 and 561.39 is: 842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.02 : 1,275.02 = 561.39 : x
  2. Step 2: Convert to fraction form
    850.02/1,275.02 = 561.39/x
  3. Step 3: Cross multiply
    850.02x = 1,275.02 × 561.39
  4. Step 4: Simplify right side
    850.02x = 715,783.48
  5. Step 5: Solve for x
    x = 715,783.48/850.02
  6. Step 6: Final answer
    x = 842.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.